From Low to Ultra High Order Basis Functions: General Approach for Highly Accurate and Efficient EM Modeling

Full-wave simulation of arbitrary structures in 2D and 3D space, whose parts are made of homogenous, linear and isotropic materials, most often can be performed efficiently and accurately by solving Surface Integral Equations (SIE) using Method of Moments (MoM) [1], [2]. In addition, for parts of structures that are highly inhomogeneous, or continuously inhomogeneous, or anisotropic, the advantage is on the side of Finite Element Method (FEM). Although MoM/SIE and FEM are well established methods, continuous demands to solve larger and more complex structures/scenarios with increased accuracy/efficiency gives motivation to scientist to search for new algorithms/strategies.